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20223164800 = 275237316943
BaseRepresentation
bin10010110101011001…
…010000000110000000
31221012101110012210201
4102311121100012000
5312404112233200
613142420334544
71314102031066
oct226531200600
957171405721
1020223164800
1186384a4043
123b04844454
131ba39b2a07
14d9bbb8036
157d564dc6a
hex4b5650180

20223164800 has 96 divisors (see below), whose sum is σ = 50094427680. Its totient is φ = 8067102720.

The previous prime is 20223164789. The next prime is 20223164809. The reversal of 20223164800 is 846132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20223164809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185129 + ... + 1202071.

It is an arithmetic number, because the mean of its divisors is an integer number (521816955).

Almost surely, 220223164800 is an apocalyptic number.

20223164800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20223164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25047213840).

20223164800 is an abundant number, since it is smaller than the sum of its proper divisors (29871262880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20223164800 is a wasteful number, since it uses less digits than its factorization.

20223164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17340 (or 17323 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 20223164800 in words is "twenty billion, two hundred twenty-three million, one hundred sixty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 373 400 640 746 800 1492 1600 1865 2984 3200 3730 5968 7460 9325 11936 14920 16943 18650 23872 29840 33886 37300 47744 59680 67772 74600 84715 119360 135544 149200 169430 238720 271088 298400 338860 423575 542176 596800 677720 847150 1084352 1193600 1355440 1694300 2168704 2710880 3388600 5421760 6319739 6777200 10843520 12639478 13554400 25278956 27108800 31598695 50557912 54217600 63197390 101115824 126394780 157993475 202231648 252789560 315986950 404463296 505579120 631973900 808926592 1011158240 1263947800 2022316480 2527895600 4044632960 5055791200 10111582400 20223164800